33836016 has 40 divisors (see below), whose sum is σ = 88526080. Its totient is φ = 11134656.

The previous prime is 33836009. The next prime is 33836021. The reversal of 33836016 is 61063833.

It is a super-2 number, since 2×33836016² = 2289751957504512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 670 + ... + 8253.

It is an arithmetic number, because the mean of its divisors is an integer number (2213152).

Almost surely, 2^33836016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33836016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44263040).

33836016 is an abundant number, since it is smaller than the sum of its proper divisors (54690064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33836016 is a wasteful number, since it uses less digits than its factorization.

33836016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9013 (or 9007 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 33836016 is about 5816.8733869666. The cubic root of 33836016 is about 323.4395126062.

Adding to 33836016 its reverse (61063833), we get a palindrome (94899849).

The spelling of 33836016 in words is "thirty-three million, eight hundred thirty-six thousand, sixteen".